2,307,788

2² × 7 × 82421

Starting at 2,307,788, the Collatz iteration reaches 1 after 99 steps. The first transition is 1153894; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 82421

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,615,632

Proper Divisor Sum 2,307,844

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2307763 ← → #2307821

Radix Representation

Decimal	2307788
Binary	1000110011011011001100 (22 bits)
Octal	0o10633314
Hexadecimal	0x2336CC

Divisor Catalog (12)

1 2 4 7 14 28 82,421 164,842 329,684 576,947 1,153,894 2,307,788

Collatz Trajectory (99 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,307,788 1,153,894 576,947 1,730,842 865,421 2,596,264 1,298,132 649,066 324,533 973,600 486,800 243,400 121,700 60,850 30,425 91,276 45,638 22,819 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407

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